Question

Is each expression a polynomial? Drag and drop each expression to the correct box. Is a polynomial Is not a polynomial 2x−6 2x^2−6x+4 2x^−2−6x+4 2/3x^4−6x^3+4x

Answer 1

Polynomials:
2x−6
2x^2−6x+4
2/3x^4−6x^3+4x

Not Polynomials:
2x^−2−6x+4

Answer 2

Alright , lets get started.

A polynomial can have constants, variables or exponents that can be combined using addition, subtraction, multiplication and division but not division by a variable.

$2x - 6$ : Polynomial

$2x^2 -6x+4$ : Polynomial

$\frac{2}{3}x^4-6x^3+4x$ : Polynomial

$2x^{-2}-6x+4 = \frac{2}{x^2}- 6x + 4$ : Not Polynomial because it has a variable in division.

Hope it will help :)